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Finding the Third Proportional to 352,937.25 and 532,696.50

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Solution

The third proportional to 352,937.25 and 532,696.50 is: 804,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,937.25 : 532,696.50 = 532,696.50 : x
  2. Step 2: Convert to fraction form
    352,937.25/532,696.50 = 532,696.50/x
  3. Step 3: Cross multiply
    352,937.25x = 532,696.50 × 532,696.50
  4. Step 4: Simplify right side
    352,937.25x = 283,765,561,112.25
  5. Step 5: Solve for x
    x = 283,765,561,112.25/352,937.25
  6. Step 6: Final answer
    x = 804,011.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.